If the roots of the equation 3x^2 - 6x + 5 = 0 are a and b, then find the quadratic whose roots are a + b and 2/(a + b).
x^2-2x+5/3=0
a+b=2
ab=5/3
x^2-(2+1)x+2=0
x^2-3x+2=0
Yay!